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Finding the Fourth Proportional to 37,208.92, 55,814.10 and 14,719

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Solution

The fourth proportional to 37,208.92, 55,814.10 and 14,719 is: 22,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,208.92 : 55,814.10 = 14,719 : x
  2. Step 2: Convert to fraction form
    37,208.92/55,814.10 = 14,719/x
  3. Step 3: Cross multiply
    37,208.92x = 55,814.10 × 14,719
  4. Step 4: Simplify right side
    37,208.92x = 821,527,737.90
  5. Step 5: Solve for x
    x = 821,527,737.90/37,208.92
  6. Step 6: Final answer
    x = 22,078.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.